Question

A tank can be filled by tap A in 2 hours and by tap B in 6 hours .how long will it take both tape to fill the tank?

Answer 1

\(\large\tt \begin{align} \color{black}{A=\dfrac{1}{t_1}\\~\\
A=\dfrac{1}{2}\\~\\
B=\dfrac{1}{t_2}\\~\\
B=\dfrac{1}{6}\\~\\
A+B=\dfrac{1}{2}+\dfrac{1}{6}\\~\\
=\dfrac{3}{6}+\dfrac{1}{6}\\~\\
=\dfrac{4}{6}\\~\\
=\dfrac{2}{3}\\~\\
=\dfrac{1}{\dfrac{3}{2}}\\~\\
=\dfrac{1}{1.5}\\~\\
}\end{align}\)

Answer 2

so \(\Large A+B\) will use \(\Large 1.5~~hrs\)

Answer 3

Thanks